On the Fractional Hamilton and Lagrange Mechanics
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Date
2012
Journal Title
Journal ISSN
Volume Title
Publisher
Springer/plenum Publishers
Open Access Color
Green Open Access
No
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No
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Top 10%
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Top 10%
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Top 10%
Abstract
The fractional generalization of Hamiltonian mechanics is constructed by using the Lagrangian involving fractional derivatives. In this paper the equation of projectile motion with air friction using fractional Hamiltonian mechanics and equation for current loop involving electric source, a resistor, an inductor and a capacitor has been obtained. Furthermore, fractional optics has been introduced.
Description
Khalili Golmankhaneh, Alireza/0000-0003-1529-7807; Khalili Golmankhaneh, Alireza/0000-0002-5008-0163; , Alireza/0000-0002-3490-7976
Keywords
Fractional Derivative, Fractional Hamiltonian, Fractional Optics, Fractional Lagrangian, Nonconservative Systems, PDEs in connection with mechanics of particles and systems of particles, fractional derivative, fractional Lagrangian, fractional Hamiltonian, nonconservative systems, Fractional partial differential equations, fractional optics
Fields of Science
0103 physical sciences, 01 natural sciences
Citation
Golmankhaneh, A.K., Yengejeh, A.M., Baleanu, D. (2012). On the fractional Hamilton and Lagrange mechanics. International Journal Of Theoretical Physics, 51(9), 2909-2916. http://dx.doi.org/10.1007/s10773-012-1169-8
WoS Q
Q3
Scopus Q
Q2
OpenCitations Citation Count
28
Source
International Journal of Theoretical Physics
Volume
51
Issue
9
Start Page
2909
End Page
2916
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Citations
CrossRef : 23
Scopus : 27
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